Existence of weak solutions for inhomogeneous generalized Navier-Stokes equations
Analysis of PDEs
2020-06-22 v1
Abstract
We prove existence of weak solutions for the fully inhomogeneous, stationary generalized Navier-Stokes equations for shear-thinning fluids. Our proof is based on the theory of pseudomonotone operators and the Lipschitz truncation method, whose application is presented as a general result. Our approach requires a smallness and a regularity assumption on the data; we show that this is inevitable in the framework of pseudomonotone operators.
Keywords
Cite
@article{arxiv.2006.11087,
title = {Existence of weak solutions for inhomogeneous generalized Navier-Stokes equations},
author = {Julius Jeßberger and Michael Růžička},
journal= {arXiv preprint arXiv:2006.11087},
year = {2020}
}